It is time to go back to school and dwell in your boring books again, right? They don’t have to be that boring or do they have to be? Mathematics is the subject that most of you student dread and for obvious reasons. Therefore, we have compiled this list of 21 GIFs that explain mathematical concepts to help you visualize them while you learn them. Good luck and let us know how it turned out for you!
21. Ellipse
20. Solving Pascal triangles
19. Use FOIL to easily multiply binomials
18. Here’s how you solve logarithms
17. Use this trick so you don’t get mixed up when doing matrix transpositions
16. What the Pythagorean Theorem is really trying to show you
15. Exterior angles of polygons will ALWAYS add up to 360 degrees
14. If you’re studying trig, you better get pretty comfortable with circles. Check out this visualization that shows what you’re really looking at when you deal with pi
13. If an arc of a circle is the same length as its radius, the resulting angle is one radian
12. Visualizing sine (red) on the Y axis and cosine (blue) on the X axis. The relative position of the circle is shown in black
11. This shows the same thing, but a bit more simply
10. Here’s how sine and cosine apply to triangles
9. Cosine is the derivative of sine
8. Tangent lines
7. Flipped on its side, the shape begins to make more sense
6. Converting a function from Cartesian to Polar coordinates
5. Drawing a parabola
4. The Riemann sum is the approximate area under a curve
3. Hyperbola
2. Translating that into 3D, you get a hyperboloid. Believe it or not, it’s made with completely straight lines
1. Seriously. You can even make it do this